黎永錦
教授
黎永錦,男,1964年10月生於廣東省汕尾,博士,現為中山大學數學系教授 。1992年研究生畢業於哈爾濱工業大學數學系,獲理學博士學位。研究興趣為泛函分析,泛函微分方程等 。已在國內外期刊上發表論文90多篇。
泛函分析,泛函微分方程,臨界點理論,孤立子理論,模糊邏輯。已在國內外期刊上發表論文90多篇。
已在國內外的數學刊物 J. Math. Anal. Appl., Fixed Point Theory Appl., Bull. Austral. Math. Soc., Comput. Math. Appl., Appl. Math. Lett., Taiwanese J. Math., Nolinear Analysis, Proc. Edinburgh Math. Soc., Positivity, Quaest. Math., J. Difference Equ. Appl., Math. Nachr.等SCI期刊發表論文90多篇。
代表性成果:
Huang, Jinghao;Li, YongjinHyers–Ulam stability of delay differential equations of first order, Mathematische Nachrichten
Bu, Qingying; Buskes, Gerard;Li, Yongjin Abstract M- and Abstract L-Spaces of Polynomials on Banach Lattices,Proceedings of the Edinburgh Mathematical Society (Series 2), 58 (2015), no. 3, 617-629.
Huang, Jinghao; Jung, Soon-Mo; Li, Yongjin On Hyers-Ulam stability of nonlinear differential equations.Bull. Korean Math. Soc. 52(2015),no. 2, 685–697.
Huang, Jinghao; Li, Yongjin Hyers-Ulam stability of linear functional differential equations.J. Math. Anal. Appl. 426(2015),no. 2, 1192–1200.
Ji, Donghai; Li, Yongjin; Bu, Qingying The complete continuity properties for the positive projective tensor product of atomic Banach lattices.Positivity 17(2013),no. 1, 17–25.
Li, Yongjin; Ji, Donghai; Bu, Qingying Copies of c 0 and ℓ ∞ into a regular operator space.Taiwanese J. Math. 16(2012),no. 1, 207–215.
Bu, Qingying; Ji, Donghai; Li, Yongjin Copies of ℓ 1 in positive tensor products of Orlicz sequence spaces.Quaest. Math. 34(2011),no. 4, 407–415.
Bu, Qingying; Li, Yongjin; Xue, Xiaoping Some properties of the space of regular operators on atomic Banach lattices.Collect. Math.62(2011),no. 2, 131–137.
Li, Yongjin; Shen, Yan Hyers-Ulam stability of linear differential equations of second order.Appl. Math. Lett. 23(2010),no. 3, 306–309.
Bandyopadhyay, Pradipta; Li, Yongjin; Lin, Bor-Luh; Narayana, Darapaneni Proximinality in Banach spaces.J. Math. Anal. Appl. 341(2008),no. 1, 309–317.
Gu, Zhaohui; Li, Yongjin Approximation methods for common fixed points of mean nonexpansive mapping in Banach spaces.Fixed Point Theory Appl. 2008,Art. ID 471532, 7 pp.
Xue, Xiaoping; Li, Yongjin; Bu, Qingying Embedding l 1 into the projective tensor product of Banach spaces.Taiwanese J. Math. 11(2007),no. 4, 1119–1125.
Li, Yongjin; He, Bing On inequalities of Hilbert's type.Bull. Austral. Math. Soc. 76(2007),no. 1, 1–13.
Xue, Xiao Ping; Li, Yong Jin; Bu, Qing Ying Some properties of the injective tensor product of Banach spaces.Acta Math. Sin. (Engl. Ser.) 23(2007),no. 9, 1697–1706.
Zhao, Zhihong; Li, Yongjin Reverse triple I method of fuzzy reasoning for the implication operator R L .Comput. Math. Appl.53(2007),no. 7, 1020–1028.
Shu, Xiao-Bao; Li-Hong, Huang; Li, Yong-Jin Triple positive solutions for a class of boundary value problems for second-order neutral functional differential equations.Nonlinear Anal. 65(2006),no. 4, 825–840.
Li, Yongjin The existence of solutions for second-order difference equations.J. Difference Equ. Appl. 12(2006),no. 2, 209–212.
*資料來源於美國數學會MathsciNet
出版專著:
《泛函分析講義》,科學出版社,2011;
《抽象代數講義》,科學出版社,2012.
主持香港中山大學高等學術研究中心基金,空間結構理論及其在運算元上的應用,2.41萬(編號 96M1),Banach空間K-凸性理論,2.57萬(編號 04M10)。參加徐遠通教授主持的國家自然科學基金,具有群作用的臨界點方法及泛函微分方程定性問題研究,19 萬(編號 10471155)。參加徐遠通教授主持的廣東省自然科學基金,臨界點理論與泛函微分系統多重周期解研究,5萬元(編號 031608)。2002-2004年間受教育部人文社會科學重點研究基地重大項目(2000ZDX720.40002)資助,在邏輯與認知研究所合作研究兩年,主要研究模糊集和模糊邏輯。2003-2004獲美國嶺南基金會資助訪問美國University of Iowa 和 University of Memphis半年,2006.11-12訪問法國巴黎Jussieu數學研究所,訪問或參加國際學術會議去過的國家還有印度(2002)、墨西哥(2005)、保加利亞(2005)和俄羅斯(2010)。主持完成一項國家自然科學基金(10871213):相容局部凸拓撲下的可逼近性質。目前主持一項國家自然科學基金:Banach格的張量積的幾何性質。